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Finding the Third Proportional to 72,719,190 and 102,039,421.50

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Solution

The third proportional to 72,719,190 and 102,039,421.50 is: 143,181,511.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,719,190 : 102,039,421.50 = 102,039,421.50 : x
  2. Step 2: Convert to fraction form
    72,719,190/102,039,421.50 = 102,039,421.50/x
  3. Step 3: Cross multiply
    72,719,190x = 102,039,421.50 × 102,039,421.50
  4. Step 4: Simplify right side
    72,719,190x = 10,412,043,540,054,662
  5. Step 5: Solve for x
    x = 10,412,043,540,054,662/72,719,190
  6. Step 6: Final answer
    x = 143,181,511.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.